We give the direct method of moving planes for solutions to the conformally invariant fractional power subLaplace equation on the Heisenberg group. The method is based on four maximum principles derived here. Then symmetry and nonexistence of positive cylindrical solutions are proved.

中文翻译：

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在Heisenberg群上将平面移动到分数次幂SubLaplace方程的直接方法

我们给出了移动平面的直接方法，用于求解Heisenberg群上的保形不变的分数次幂subLaplace方程。该方法基于此处导出的四个最大原理。然后证明了正圆柱解的对称性和不存在性。